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Finding the Fourth Proportional to 2,516.52, 3,776.32 and 1,590.80

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Solution

The fourth proportional to 2,516.52, 3,776.32 and 1,590.80 is: 2,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.52 : 3,776.32 = 1,590.80 : x
  2. Step 2: Convert to fraction form
    2,516.52/3,776.32 = 1,590.80/x
  3. Step 3: Cross multiply
    2,516.52x = 3,776.32 × 1,590.80
  4. Step 4: Simplify right side
    2,516.52x = 6,007,365.26
  5. Step 5: Solve for x
    x = 6,007,365.26/2,516.52
  6. Step 6: Final answer
    x = 2,387.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.